Details
Original language | English |
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Title of host publication | Proceedings - 2020 IEEE International Conference on Environment and Electrical Engineering and 2020 IEEE Industrial and Commercial Power Systems Europe, EEEIC / I and CPS Europe 2020 |
Number of pages | 6 |
ISBN (electronic) | 978-1-7281-7455-6 |
Publication status | Published - 2020 |
Event | EEEIC 2020 - Duration: 9 Jun 2020 → 12 Jun 2020 |
Abstract
Consistent initial values, which fulfil the algebraic constraints, are necessary for the simulation of differential-algebraic equations. Inconsistent initial values can lead to permanently false solutions. The calculation of consistent initial values can be more expensive than the simulation itself. In this paper, the options to deal with inconsistent initial values as well as a new approach for electric power system simulations are presented. To show the influence of inconsistent initial values for an electromagnetic transient simulation of an electric power system, formulated with the extended nodal approach, the algebraic constraints are derived and systematically violated. Deduced from this, a circuit theoretical interpretation for the inconsistent values for a linear time-invariant differential-algebraic equation is presented. The discussed solution approaches are carried out by different adaptions of the differential-algebraic equation, which have the consequence that the approximated solution returns to a consistent solution after a transient. Finally, the effects of the interventions on the differential-algebraic equation system are presented and evaluated.
Keywords
- differential-algebraic equations, extended nodal approach, inconsistent initial values
ASJC Scopus subject areas
- Mathematics(all)
- Control and Optimization
- Computer Science(all)
- Artificial Intelligence
- Energy(all)
- Energy Engineering and Power Technology
- Energy(all)
- Renewable Energy, Sustainability and the Environment
- Engineering(all)
- Electrical and Electronic Engineering
- Engineering(all)
- Industrial and Manufacturing Engineering
- Environmental Science(all)
- Environmental Engineering
Sustainable Development Goals
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Proceedings - 2020 IEEE International Conference on Environment and Electrical Engineering and 2020 IEEE Industrial and Commercial Power Systems Europe, EEEIC / I and CPS Europe 2020. 2020.
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Consistent solution for electric power system simulations with inconsistent initial values
AU - Huisinga, Hauke Hendrik
AU - Hofmann, Lutz
PY - 2020
Y1 - 2020
N2 - Consistent initial values, which fulfil the algebraic constraints, are necessary for the simulation of differential-algebraic equations. Inconsistent initial values can lead to permanently false solutions. The calculation of consistent initial values can be more expensive than the simulation itself. In this paper, the options to deal with inconsistent initial values as well as a new approach for electric power system simulations are presented. To show the influence of inconsistent initial values for an electromagnetic transient simulation of an electric power system, formulated with the extended nodal approach, the algebraic constraints are derived and systematically violated. Deduced from this, a circuit theoretical interpretation for the inconsistent values for a linear time-invariant differential-algebraic equation is presented. The discussed solution approaches are carried out by different adaptions of the differential-algebraic equation, which have the consequence that the approximated solution returns to a consistent solution after a transient. Finally, the effects of the interventions on the differential-algebraic equation system are presented and evaluated.
AB - Consistent initial values, which fulfil the algebraic constraints, are necessary for the simulation of differential-algebraic equations. Inconsistent initial values can lead to permanently false solutions. The calculation of consistent initial values can be more expensive than the simulation itself. In this paper, the options to deal with inconsistent initial values as well as a new approach for electric power system simulations are presented. To show the influence of inconsistent initial values for an electromagnetic transient simulation of an electric power system, formulated with the extended nodal approach, the algebraic constraints are derived and systematically violated. Deduced from this, a circuit theoretical interpretation for the inconsistent values for a linear time-invariant differential-algebraic equation is presented. The discussed solution approaches are carried out by different adaptions of the differential-algebraic equation, which have the consequence that the approximated solution returns to a consistent solution after a transient. Finally, the effects of the interventions on the differential-algebraic equation system are presented and evaluated.
KW - differential-algebraic equations
KW - extended nodal approach
KW - inconsistent initial values
UR - http://www.scopus.com/inward/record.url?scp=85090418908&partnerID=8YFLogxK
U2 - 10.1109/EEEIC/ICPSEurope49358.2020.9160814
DO - 10.1109/EEEIC/ICPSEurope49358.2020.9160814
M3 - Conference contribution
SN - 9781728174532
SN - 978-1-7281-7456-3
BT - Proceedings - 2020 IEEE International Conference on Environment and Electrical Engineering and 2020 IEEE Industrial and Commercial Power Systems Europe, EEEIC / I and CPS Europe 2020
T2 - EEEIC 2020
Y2 - 9 June 2020 through 12 June 2020
ER -